{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.signal import convolve\n",
    "from tqdm import tqdm\n",
    "from DistantSpeech.beamformer.utils import pt\n",
    "from DistantSpeech.beamformer.utils import load_audio as audioread\n",
    "from DistantSpeech.beamformer.utils import save_audio as audiowrite\n",
    "from DistantSpeech.adaptivefilter.FastFreqLms import FastFreqLms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\begin{aligned}\n",
    "H_1(z) &= 2-(a_1+a_2)z^{-1} \\\\\n",
    "H_2(z) &= 2-(a_1+a_2)z^{-1}+(a_1*a_2)z^{-1} \\\\\n",
    "H(z) &= \\frac{H_1(z)}{H_2(z)}\\\\\n",
    "&= \\frac{1}{1-a_1z^{-1}} + \\frac{1}{1-a_2z^{-1}} \\\\\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "y1 = conv(noise, h1)\n",
    "\n",
    "y2 = conv(noise, h2)\n",
    "\n",
    "y1_est = conv(y2, h), 求h\n",
    "\n",
    "$H(z)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a1 = 0.5\n",
    "a2 = 2\n",
    "h1 = np.array([2,-(a1+a2)])\n",
    "h2 = np.array([1,-(a1+a2),a1*a2])\n",
    "\n",
    "iir_length = 64\n",
    "rtf1 = np.zeros(iir_length*2)\n",
    "rtf2 = np.zeros(iir_length*2)\n",
    "rtf3 = np.zeros(iir_length*2)\n",
    "\n",
    "def stepfun(t, t0=0):\n",
    "    return 1 if t >= t0 else 0\n",
    "\n",
    "for n in np.arange(-iir_length, iir_length-1, 1, dtype=float):\n",
    "    rtf1[int(n)+iir_length] = ((a1)**n)*stepfun(n)+(a2)**n*stepfun(n) # |z| >2\n",
    "    rtf2[int(n)+iir_length]=(a1)**n*stepfun(n)-(a2)**n*stepfun(-n-1) # 0.5<|Z| <2\n",
    "    rtf3[int(n)+iir_length]=-(a1)**n*stepfun(-n-1)-(a2)**n*stepfun(-n-1) #  |Z| <0.5\n",
    "\n",
    "plt.figure(figsize=(14,8))\n",
    "x_axis = np.linspace(-iir_length, iir_length-1, iir_length*2)\n",
    "\n",
    "plt.plot(x_axis, rtf1)\n",
    "plt.plot(x_axis,rtf3)\n",
    "plt.xlim([-iir_length, iir_length-1])\n",
    "plt.legend(['right side','left side'])\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(14,8))\n",
    "plt.plot(x_axis,rtf2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "noise = audioread(\"/home/wangwei/work/DistantSpeech/samples/noise/office1.wav\")\n",
    "noise = np.random.randn(len(noise))\n",
    "y1 = convolve(noise, h1)\n",
    "\n",
    "\n",
    "y2 = convolve(noise, h2)\n",
    "y2 = y2[:len(y1)]\n",
    "# y2 = y2[32:]\n",
    "# audiowrite('y1.wav', y1)\n",
    "# audiowrite('y2.wav', y2)\n",
    "\n",
    "# non-causal filtering\n",
    "y1_est = convolve(y2, rtf2)\n",
    "\n",
    "diff = np.zeros(iir_length*2)\n",
    "# shift = iir_length\n",
    "for shift in np.arange(0, iir_length*2, 1):\n",
    "    y=y1_est[shift:]\n",
    "    min_len = np.min((len(y), len(y1)))\n",
    "    diff[shift] = np.sum((y1[:min_len]-y[:min_len])**2)\n",
    "    # print(diff)\n",
    "\n",
    "shift = np.argmin(diff)\n",
    "y1_est = y1_est[shift:]\n",
    "print(shift)\n",
    "\n",
    "min_len = np.min((len(y1_est), len(y1)))\n",
    "\n",
    "pt(y1[:min_len-iir_length]-y1_est[:min_len-iir_length])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 129873/129873 [00:00<00:00, 239114.86it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "filter_len = iir_length*2\n",
    "flms = FastFreqLms(filter_len=filter_len, mu=0.1, alpha=0.1)\n",
    "flms_fir = FastFreqLms(filter_len=filter_len, mu=0.1, alpha=0.1, non_causal=True)\n",
    "\n",
    "# y2 = y2[filter_len*4:]\n",
    "# y1 = y1[:len(y1)]\n",
    "\n",
    "y = y[iir_length:]\n",
    "\n",
    "valid_len = len(y2)-flms.filter_len  # discard last frame\n",
    "\n",
    "est_err_lms = np.zeros(valid_len)\n",
    "est_err_nlms = np.zeros(valid_len)\n",
    "est_err_flms = np.zeros(valid_len)\n",
    "output = np.zeros(y1.shape)\n",
    "output_fir = np.zeros(y1.shape)\n",
    "\n",
    "for n in tqdm(range(len(y2) - filter_len)):\n",
    "    if np.mod(n, flms.filter_len) == 0:\n",
    "        input_vector = y2[n: n +  flms.filter_len]\n",
    "        d_vector = y1[n : n + flms.filter_len]\n",
    "        \n",
    "        err, w_flms = flms.update(input_vector, d_vector)\n",
    "        output[n : n + flms.filter_len] = err[:, 0]\n",
    "\n",
    "        err, w_flms_fir = flms_fir.update(input_vector, d_vector)\n",
    "        output_fir[n : n + flms.filter_len] = err[:, 0]\n",
    "\n",
    "plt.figure(figsize=(14,8))\n",
    "plt.plot(y1)\n",
    "plt.plot(output)\n",
    "plt.plot(output_fir)\n",
    "plt.legend(['y1','causal error output','non-causal error output'])\n",
    "plt.show()\n",
    "pt(w_flms)\n",
    "pt((w_flms_fir))\n",
    "\n",
    "y2 = y2[:len(y1)]\n",
    "\n",
    "w_flms_shift = w_flms[:, 0] #np.fft.fftshift(w_flms[:, 0])\n",
    "w_flms_fir_shift = np.fft.fftshift(w_flms_fir[:, 0])\n",
    "# w_flms_shift[15] = -0.43\n",
    "# w_flms_shift[14] = -0.2\n",
    "# w_flms_shift[13] = -0.1\n",
    "# w_flms_shift[12] = -0.01\n",
    "# w_flms_shift[11] = 0.01\n",
    "y = convolve(y2, w_flms_shift)\n",
    "y = convolve(y2, rtf2)\n",
    "\n",
    "# print(w_flms.shape)\n",
    "# plt.figure(figsize=(14,8))\n",
    "# plt.plot(rtf2)\n",
    "# plt.plot(w_flms_shift)\n",
    "# plt.plot(w_flms_fir_shift)\n",
    "# plt.legend(['rtf2','w_flms_shift', 'w_flms_fir_shift'])\n",
    "# plt.show()\n",
    "# pt(rtf2,w_flms_shift)\n",
    "\n",
    "\n",
    "# shift = 0\n",
    "# diff = y1[:-shift]-y[shift:len(y1)+shift][:-shift]\n",
    "# pt(diff)\n",
    "# print(diff)\n",
    "\n",
    "shift = iir_length\n",
    "# for shift in range(filter_len):\n",
    "#     diff = y1[:-shift]-y[shift:len(y1)+shift][:-shift]\n",
    "#     print(np.sum(np.abs(diff)))\n",
    "# pt(y1[:-shift], y1[:-shift]-y[shift:len(y1)+shift][:-shift])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading analysis prototype from '/home/wangwei/work/DistantSpeech/DistantSpeech/transform/prototype.ny/h-M512-m2-r2.pickle'\n",
      "Loading synthesis prototype from '/home/wangwei/work/DistantSpeech/DistantSpeech/transform/prototype.ny/g-M512-m2-r2.pickle'\n",
      "self.h:(1024,)\n",
      "self.g:(1024,)\n",
      "Loading analysis prototype from '/home/wangwei/work/DistantSpeech/DistantSpeech/transform/prototype.ny/h-M512-m2-r2.pickle'\n",
      "Loading synthesis prototype from '/home/wangwei/work/DistantSpeech/DistantSpeech/transform/prototype.ny/g-M512-m2-r2.pickle'\n",
      "self.h:(1024,)\n",
      "self.g:(1024,)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 129873/129873 [00:00<00:00, 246920.60it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from DistantSpeech.transform.subband import Subband\n",
    "from DistantSpeech.adaptivefilter.SubbandLMS import SubbandLMS\n",
    "filter_len = iir_length*2\n",
    "\n",
    "subband_lms = SubbandLMS(filter_len=2, num_bands=512, hop_length=iir_length*2, mu=1e-1)\n",
    "\n",
    "flms = FastFreqLms(filter_len=filter_len, mu=0.1, alpha=0.1)\n",
    "flms_fir = FastFreqLms(filter_len=filter_len, mu=0.1, alpha=0.1, non_causal=True)\n",
    "\n",
    "# y2 = y2[filter_len*4:]\n",
    "# y1 = y1[:len(y1)]\n",
    "\n",
    "y = y[iir_length:]\n",
    "\n",
    "valid_len = len(y2)-flms.filter_len  # discard last frame\n",
    "\n",
    "est_err_lms = np.zeros(valid_len)\n",
    "est_err_nlms = np.zeros(valid_len)\n",
    "est_err_flms = np.zeros(valid_len)\n",
    "output = np.zeros(y1.shape)\n",
    "\n",
    "for n in tqdm(range(len(y2) - filter_len)):\n",
    "    if np.mod(n, flms.filter_len) == 0:\n",
    "        input_vector = y2[n: n +  flms.filter_len]\n",
    "        d_vector = y1[n : n + flms.filter_len]\n",
    "\n",
    "        subband_err_td, w_flms = subband_lms.update(input_vector, d_vector)\n",
    "        \n",
    "        output[n : n + flms.filter_len] = subband_err_td\n",
    "\n",
    "plt.figure(figsize=(14,8))\n",
    "plt.plot(output)\n",
    "plt.plot(output_fir)\n",
    "plt.legend(['subband lms','non-causal fdlms'])\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.8 ('.venv': venv)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "532cddd74b9fabc13f740f51c7600370dbbc74aaf96e64501f4b1ae280f38de4"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
